Lense/Image help (interactive diagram fun)

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Homework Help Overview

The discussion revolves around the calculations related to a lens using an interactive diagram. The subject area includes optics, specifically the application of the lens maker's equation and the thin lens equation to determine focal length and image distances.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of the lens maker's equation to calculate the focal length and question the resulting values. There is also inquiry into the application of the thin lens equation to find distances for image formation.

Discussion Status

The discussion is active, with participants confirming calculations and seeking clarification on the relationships between object distance (p), image distance (q), and focal length (f). Some guidance has been provided regarding the equations to use, but there is still uncertainty about the interpretation of the results.

Contextual Notes

Participants are working with specific parameters for the lens setup, including radius of curvature, refractive index, and diameter. There is a focus on ensuring units are consistent throughout the calculations.

nophun6
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Hello, I have some questions dealing with an interactive diagram. to access the diagram go here: http://www.colorado.edu/physics/phet/simulations/lens/lens.swf
when you go there set the radius of curvature to 1.0 m, the refractive index to 1.6, and the diameter to 1.2 m

Ok first question:1. Calculate the focal length of the lens. So I know I need to use the lens maker's equation. 1/f = (n-1) (1/R1 - 1/R2)
Plugging in numbers is the answer: .83 cm?

2. Calculate the distance you need between the lens and the arrow so that its image is the same size as the object. What are your calculated values of p and q?
What equation do I use to calculate this distance?


Please help, muchas gracias.
 
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nophun6 said:
Ok first question:1. Calculate the focal length of the lens. So I know I need to use the lens maker's equation. 1/f = (n-1) (1/R1 - 1/R2)
Plugging in numbers is the answer: .83 cm?
Your distance is in meters, so that's 0.83 m = 83 cm.

2. Calculate the distance you need between the lens and the arrow so that its image is the same size as the object. What are your calculated values of p and q?
What equation do I use to calculate this distance?
Look up the thin lens equation.
 
Ok the thin lens equation : 1/p + 1/q = 1/f
f= 83 cm correct?
So would that mean that p and q = 166cm ? Or is that the distance between the lens and the arrow ?
please help
 
nophun6 said:
Ok the thin lens equation : 1/p + 1/q = 1/f
f= 83 cm correct?
Right.
So would that mean that p and q = 166cm ?
Right.
Or is that the distance between the lens and the arrow ?
Also right.
 

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